Trevor tosses a coin 3 times. Consider the following events.
[math]A[/math]: The first toss is heads.
[math]B[/math]: The second toss is heads.
[math]C[/math]: There are exactly 2 consecutive heads.
For each of the following pairs of events, determine if the events are independent.
[list]
[*][math]A[/math] and [math]B[/math] (This is [math]A∩B[/math] in set notation.)
[*][math]A[/math] and [math]C[/math] (This is [math]A∩C[/math] in set notation.)
[*][math]B[/math] and [math]C[/math] (This is [math]B∩C[/math] in set notation.)
[/list]
